Adler has an “overweight” rating and a $63 price target on the stock, which hovered under $59 in midafternoon trading.

“I see this company moving into a new phase. They’ve now got some new management, who I believe will help them improve the consistency of performance at the stores, which has probably been their weakest area,” added Adler.

“With 4.5 percent same-store sales, they actually missed their 5 percent guidance. That marks the fifth-straight quarter they missed [comparable same-store sales] guidance,” notes Keith, which is in line with the company’s report.

“They’re doing a lot, but we don’t believe they’re executing very well," said Keith.

One new initiative that bulls like is new management’s plan to expand its customer base with more expensive products — which may be counterintuitive for a company called “Family Dollar.”

“They’ve typically catered toward a lower-income demographic, and while moving up should drive sales, they’re also bringing in excess inventory,” said Keith. “So, now you're in a position where inventory is growing faster than sales.”

He has an “underweight” rating on Family Dollar. Within the sector, Keith prefers Dollar Tree for its merchandise type.

“If people believe the economy is getting better, we’d rather play a retailer that has higher exposure to disretionary merchandise, not a retailer like Family Dollar, where 70-plus percent of goods is in consumables,” he explained.

Consumables — goods such as groceries that need to be replaced regulary — typically are considered safe bets in a weak economy. When it strengthens, however, discretionary, or nonessential, goods are expected to increase.